What is the Greatest Common Factor of 99313 and 99332?

Greatest common factor (GCF) of 99313 and 99332 is 19.

GCF(99313,99332) = 19

We will now calculate the prime factors of 99313 and 99332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99313 and 99332.

How to find the GCF of 99313 and 99332?

We will first find the prime factorization of 99313 and 99332. After we will calculate the factors of 99313 and 99332 and find the biggest common factor number .

Step-1: Prime Factorization of 99313

Prime factors of 99313 are 19, 5227. Prime factorization of 99313 in exponential form is:

99313 = 19¹ × 5227¹

Step-2: Prime Factorization of 99332

Prime factors of 99332 are 2, 19, 1307. Prime factorization of 99332 in exponential form is:

99332 = 2² × 19¹ × 1307¹

Step-3: Factors of 99313

List of positive integer factors of 99313 that divides 99313 without a remainder.

1, 19, 5227

Step-4: Factors of 99332

List of positive integer factors of 99332 that divides 99313 without a remainder.

1, 2, 4, 19, 38, 76, 1307, 2614, 5228, 24833, 49666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99313 and 99332. The biggest common factor number is the GCF number.
So the greatest common factor 99313 and 99332 is 19.

Also check out the Least Common Multiple of 99313 and 99332